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Pseudo-Differential Operators with Point Interactions |
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| Authors: | ALBEVERIO S. KURASOV P. |
| Affiliation: | (1) Department of Mathematics, Ruhr University Bochum, D 44780 Bochum, Germany;;(2) SFB 237 Essen-Bochum-Düsseldorf, Germany;;(3) BiBoS Research Center, D 33615 Bielefeld, Germany;;(4) CERFIM, Locarno, Switzerland;(5) Department of Mathematics, Ruhr University Bochum, D 44780 Bochum, Germany;;(6) Mathematical Institute, Stockholm University, 10691 Stockholm, Sweden;;(7) Department of Physics, St. Petersburg University, 198904 St. Petersburg, Russia;;(8) Department of Mathematics, Luleå, Sweden |
| Abstract: | Point interactions for pseudo-differential operators are studied. Necessary and sufficient conditions for a pseudo-differential operator to have nontrivial point perturbations are given. The results are applied to the construction of relativistic spin zero Hamiltonians with point interactions. |
| Keywords: | pseudo-differential operators extension theory symmetric operators spectral theory point interactions Krein's formula |
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